Search a number
-
+
124408506642 = 23753163734141
BaseRepresentation
bin111001111011101010…
…0110010100100010010
3102220010020112221201020
41303313110302210102
54014242034203032
6133052534020310
711662646600310
oct1636724624422
9386106487636
10124408506642
11488413a4442
12201401a7696
13b968638294
146042a370b0
15338201eb2c
hex1cf7532912

124408506642 has 64 divisors (see below), whose sum is σ = 289913105664. Its totient is φ = 34852296960.

The previous prime is 124408506517. The next prime is 124408506647. The reversal of 124408506642 is 246605804421.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 124408506594 and 124408506603.

It is not an unprimeable number, because it can be changed into a prime (124408506647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3626892 + ... + 3661032.

It is an arithmetic number, because the mean of its divisors is an integer number (4529892276).

Almost surely, 2124408506642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 124408506642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144956552832).

124408506642 is an abundant number, since it is smaller than the sum of its proper divisors (165504599022).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

124408506642 is a wasteful number, since it uses less digits than its factorization.

124408506642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35843.

The product of its (nonzero) digits is 368640, while the sum is 42.

The spelling of 124408506642 in words is "one hundred twenty-four billion, four hundred eight million, five hundred six thousand, six hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 53 106 159 318 371 742 1113 1637 2226 3274 4911 9822 11459 22918 34141 34377 68282 68754 86761 102423 173522 204846 238987 260283 477974 520566 607327 716961 1214654 1433922 1809473 1821981 3618946 3643962 5428419 10856838 12666311 25332622 37998933 55888817 75997866 111777634 167666451 335332902 391221719 782443438 1173665157 2347330314 2962107301 5924214602 8886321903 17772643806 20734751107 41469502214 62204253321 124408506642